Group order preservation and the proportional rule for the adjudication of conflicting claims

DOI10.1016/S0165-4896(02)00038-0zbMath1023.91034OpenAlexW2100415976WikidataQ59972816 ScholiaQ59972816MaRDI QIDQ1867847

Christopher P. Chambers, William Thomson

Publication date: 2 April 2003

Published in: Mathematical Social Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0165-4896(02)00038-0

zbMATH Keywords

consistencyproportional ruleconflicting claimsgroup order preservationreplication invariance

Mathematics Subject Classification ID

Production theory, theory of the firm (91B38) Public goods (91B18) Resource and cost allocation (including fair division, apportionment, etc.) (91B32)

Related Items (19)

Endowment additivity and the weighted proportional rules for adjudicating conflicting claims ⋮ Taxation and poverty ⋮ Fair division with uncertain needs ⋮ The reverse TAL-family of rules for bankruptcy problems ⋮ Non-manipulable division rules in claim problems and generalizations ⋮ For claims problems, compromising between the proportional and constrained equal awards rules ⋮ Non-proportional inequality preservation in gains and losses ⋮ Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey. ⋮ For claims problems, another compromise between the proportional and constrained equal awards rules ⋮ On the investment implications of bankruptcy laws ⋮ Equal-quantile rules in resource allocation with uncertain needs ⋮ On the existence of consistent rules to adjudicate conflicting claims: a constructive geometric approach ⋮ On properties of division rules lifted by bilateral consistency ⋮ Operators for the adjudication of conflicting claims ⋮ Progressive and merging-proof taxation ⋮ Bargaining among groups: an axiomatic viewpoint ⋮ Convergence under replication of rules to adjudicate conflicting claims ⋮ Scale invariance and similar invariance conditions for bankruptcy problems ⋮ Two families of rules for the adjudication of conflicting claims

Cites Work

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• Game theoretic analysis of a bankruptcy problem from the Talmud
• A study of choice correspondences in economies with a variable number of agents
• The proportional solution for rights problems
• A problem of rights arbitration from the Talmud
• The three musketeers: four classical solutions to bankruptcy problems.
• On Dividing an Amount According to Individual Claims or Liabilities
• Markets with a Continuum of Traders

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